Exact controllability for systems describing plate vibrations. A perturbation approach by Bournissou, Megane, Ervedoza, Sylvain, Tucsnak, Marius

“…We also discuss the possible application of the methods in this paper to systems described by Schrödinger type equations on manifolds or by the related Berger’s nonlinear plate equation.…”
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Association between the systemic immunity-inflammation index and stroke: a population-based study from NHANES (2015–2020) by Rui Shi, Ye Tian, Junbiao Tian, Qiming Liu, Jiayun Zhang, Zhe Zhang, Yaping Sun, Zhanwei Xie

“…Moreover, we found an nonlinear relationship between SII and stroke with an inflection point of 740 (1,000 cells /µl) by using a two-segment linear regression model. …”
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A New Mathematical Model for Cell Layout Problem considering Rotation of Unequal Dimensions of Cells and Machines by Raheleh Alamiparvin, Esmaeil Mehdizadeh, Hamed Soleimani

“…For this purpose, a mixed nonlinear programming model was developed to solve the CLP with the minimum cost of intracellular and intercellular material flows. …”
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Effect of the Preexisting Fissure with Different Fillings in PMMA on Blast-Induced Crack Propagation by Xin Yang, Xiangguo Zeng, Chuanjin Pu, Dingjun Xiao

“…The experiment of explosive loading was carried out by a single detonator, and the dynamic crack propagation process of the experimental specimens was simulated by nonlinear dynamics software AUTODYN. The results show that the blast-induced cracks are the most favorable and unfavorable to propagate when θ = 0° and θ = 45°, respectively. …”
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Triglyceride-glucose index in predicting the risk of new-onset diabetes in the general population aged 45 years and older: a national prospective cohort study by Yingqi Shan, Qingyang Liu, Tianshu Gao

“…In addition, there was a nonlinear relationship between TyG index and diabetes. …”
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Visual-inertial navigation assisted by a single UWB anchor with an unknown position by Haolong Luo, Danping Zou, Jiansheng Li, Ancheng Wang, Li Wang, Zidi Yang, Guangyun Li

“…To accurately and rapidly estimate the UWB anchor positions, we employed the robust ridge nonlinear least-squares method to improve the accuracy and reliability of the estimated UWB anchor position. …”
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The Optimization Model for Reducing RON Loss in Gasoline Refining Process by Xuefei Lu, Xiaoyan Wang, Yifang Yang, Jianan Xue

“…We convert the problem into linear and nonlinear model variable optimization problems: the linear model is the variable selected by the SVR linear kernel function model and random forest; the nonlinear model is the combination of variables selected by the random forest model and random forest. …”
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Credit Rating Model of Small Enterprises Based on Optimal Discriminant Ability and Its Empirical Study by Zhanjiang Li, Lin Guo

“…Based on this principle, a nonlinear optimization model for credit rating division of small enterprises is built, and the approximate solution of the model is solved by a recursive algorithm with strong reproducibility and clear structure. …”
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The relationship between the atherogenic index of plasma and postoperative myocardial injury following non-cardiac surgery under general anaesthesia: a retrospective cohort study by Yuanjun Zhou, Liping Zhong, Yilin Liao, Yuting Zhong

“…Restricted cubic splines (RCS) were used to explore the potential nonlinear relationship between AIP and MINS. Logistic regression analysis was conducted to examine the association of AIP with MINS. …”
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Study on the load-supporting characteristic of the new type of support disc-type anchor under cyclic loading test by Fuguang Gu, Jun Wang, Hong Chang, Qinglin Sun, Zhengheng Gan, Haozhi Jiang

“…A functional model predicts the bearing capacity of the new type of support disc-type anchors through nonlinear fitting of the data, validating the model against measured results. …”
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In-Line and Cross-Flow Coupling Vibration Response Characteristics of a Marine Viscoelastic Riser Subjected to Two-Phase Internal Flow by Xueping Chang, Jinming Fan, Wenwu Yang, Yinghui Li

“…This paper studies the in-line and cross-flow coupling vibration response characteristics of a marine viscoelastic riser subjected to two-phase internal flow and affected by the combined effects of several parameters including the volume fraction of gas phase, sea water flow velocity, viscoelastic coefficient of the marine riser, axial tension amplitude, and the in-line and cross-flow coupling effect taking into account both the geometric and hydrodynamic nonlinearities. On the base of extended Hamilton’s principle for open systems, the dynamic equations of the marine viscoelastic riser subjected to the axial tension and gas-liquid-structure interaction are established. …”
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Influence of Cord Parameters on the Load Characteristics of Airbags by Yu-Ru Li, Shou-Ne Xiao, Jun-Ke Xie, Tao Zhu, Bing Yang, Guang-Wu Yang, Shi-De Xiao

“…To accurately characterize the large deformation and nonlinear characteristics of airbags, the influence of cord parameters on vertical force characteristics was studied, and a finite-element simulation model of airbags based on gas-solid coupling was established. …”
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TDCN: A novel temporal depthwise convolutional network for short-term load forecasting by Mingping Liu, Chenxu Xia, Yuxin Xia, Suhui Deng, Yuhao Wang

“…However, with the growing integration of renewable energy sources like wind power and photovoltaics, load data have become increasingly complex and nonlinear, making accurate forecasting a challenging task in modern power systems. …”
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Documentation of lead exposure-associated comorbidity among 4538 workers in China by Qian Hua, Pingyang Zhang, Yong Yang, Jingchao Ren, Shouming Cui, Yuxin Yang, Loulou Cai, Jia Ding, Shouyuan Cui, Mingyang Gao, David C. Christiani, William Au, Yanchun Ma, Zhongjun Du, Guang-hui Zhang, Zhao-lin Xia

“…The RCS curve analysis revealed a nonlinear relationship between BLC and risk of comorbidity (p-overall < 0.001, and p-nonlinear < 0.001). …”
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Exposure to specific polyfluoroalkyl chemicals is associated with cardiovascular disease in US adults: a population-based study by Wenwen Xiao, Guojin Jian, Fei Ma, Hong Li, Xiaohong Yang, Hengyang Zhang, Yongping Cao

“…Generalized additive model (GAM) was used for evaluating nonlinear relationships. Subgroup analyses were conducted to explore interaction effects. …”
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Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter by Jing Wang, Shaojuan Ma, Peng Hao, Hehui Yuan

“…Finally, a hybrid feedback control method (linear feedback control method combined with nonlinear stochastic feedback control method) is introduced to control the Hopf bifurcation behavior of the magnetic bearing system.…”
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Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions by Hamid Khan, S. Islam, Javed Ali, Inayat Ali Shah

“…We investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ur(r,z,t)=(1/r)(∂ψ/∂z) and uz(r,z,t)=−(1/r)(∂ψ/∂r) and a transformation ψ(r,z)=r2F(z). …”
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Characterization of Polymer Surfaces by the Use of Different Wetting Theories Regarding Acid-Base Properties by Eduard Kraus, Lukas Orf, Michael Heilig, Benjamin Baudrit, Irina Starostina, Oleg Stoyanov

“…Striving for a better understanding of the adhesive polymer interactions in adhesively joined polymers, the methods of Berger and van Oss-Chaudhury-Good were found as the most suitable methods for the investigation of wetting on solid polymer surfaces. Methods of nonlinear systems by Della Volpe and Siboni were adapted and evaluated on plastic surfaces. …”
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A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem by Muhammad Bux, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh

“…Modification is done by using the self-adaptive technique that provides the basis for predicting a new predictor-corrector self-adaptive for solving nonlinear variational inequalities. The motivation of the presented study is to provide a meaningful extension to existing knowledge through convergence at mild conditions. …”
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Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains by Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch, Juan Bory Reyes

“…Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.…”
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